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Bibliography

Major publications by the team in recent years
  • 1J. W. Demmel, L. Grigori, M. Hoemmen, J. Langou.

    Communication-optimal parallel and sequential QR and LU factorizations, in: SIAM Journal on Scientific Computing, 2012, no 1, pp. 206-239, short version of technical report UCB/EECS-2008-89 from 2008.
  • 2V. Dolean, P. Jolivet, F. Nataf.

    An Introduction to Domain Decomposition Methods: algorithms, theory and parallel implementation, SIAM, 2015.
  • 3L. Grigori, S. Cayrols, J. W. Demmel.

    Low rank approximation of a sparse matrix based on LU factorization with column and row tournament pivoting, in: SIAM Journal on Scientific Computing, 2018, In press.
  • 4L. Grigori, J. Demmel, H. Xiang.

    CALU: a communication optimal LU factorization algorithm, in: SIAM Journal on Matrix Analysis and Applications, 2011, vol. 32, pp. 1317-1350.
  • 5L. Grigori, S. Moufawad, F. Nataf.

    Enlarged Krylov Subspace Conjugate Gradient methods for Reducing Communication, in: SIAM Journal on Matrix Analysis and Applications, 2016, vol. 37, no 2, pp. 744-773.
  • 6R. Haferssas, P. Jolivet, F. Nataf.

    An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method, in: SIAM J. Sci. Comput., 2017, vol. 39, no 4, pp. A1345–A1365.

    http://dx.doi.org/10.1137/16M1060066
  • 7F. Hecht.

    New development in FreeFem++, in: J. Numer. Math., 2012, vol. 20, no 3-4, pp. 251–265.
  • 8P. Jolivet, F. Nataf.

    HPDDM: High-Performance Unified framework for Domain Decomposition methods, MPI-C++ library, 2014, https://github.com/hpddm/hpddm.
  • 9N. Spillane, V. Dolean, P. Hauret, F. Nataf, C. Pechstein, R. Scheichl.

    Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps, in: Numer. Math., 2014, vol. 126, no 4, pp. 741–770.

    http://dx.doi.org/10.1007/s00211-013-0576-y
Publications of the year

Articles in International Peer-Reviewed Journals

  • 10M. Bonazzoli, V. Dolean, F. Rapetti, P.-H. Tournier.

    Parallel preconditioners for high order discretizations arising from full system modeling for brain microwave imaging, in: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2017. [ DOI : 10.1002/jnm.2229 ]

    https://hal.archives-ouvertes.fr/hal-01328197
  • 11L. A. Chesnel, X. Claeys, S. A. Nazarov.

    Small obstacle asymptotics for a 2D semi-linear convex problem, in: Applicable Analysis, February 2017, 20 p. [ DOI : 10.1080/00036811.2017.1295449 ]

    https://hal.archives-ouvertes.fr/hal-01427617
  • 12X. Claeys, R. Hiptmair, E. Spindler.

    Second-kind boundary integral equations for electromagnetic scattering at composite objects, in: Computers & Mathematics with Applications, December 2017, vol. 74, no 11, pp. 2650 - 2670. [ DOI : 10.1016/j.camwa.2017.08.014 ]

    https://hal.inria.fr/hal-01671147
  • 13X. E. Claeys, R. E. Hiptmair, E. E. Spindler.

    Second Kind Boundary Integral Equation for Multi-Subdomain Diffusion Problems, in: Advances in Computational Mathematics, October 2017, vol. 43, no 5, 26 p.

    https://hal.archives-ouvertes.fr/hal-01427625
  • 14M. J. Grote, M. Kray, F. Nataf, F. Assous.

    Time-dependent wave splitting and source separation, in: Journal of Computational Physics, 2017, vol. 330, pp. 981–996.

    https://hal.archives-ouvertes.fr/hal-01216117
  • 15R. Haferssas, P. Jolivet, F. Nataf.

    An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method, in: SIAM Journal on Scientific Computing, February 2017, vol. 39, no 4, pp. A1345 - A1365. [ DOI : 10.1137/16M1060066 ]

    https://hal.archives-ouvertes.fr/hal-01278347
  • 16P.-H. Tournier, M. Bonazzoli, V. Dolean, F. Rapetti, F. Hecht, F. Nataf, I. Aliferis, I. El Kanfoud, C. Migliaccio, M. De Buhan, M. Darbas, S. Semenov, C. Pichot.

    Numerical Modeling and High-Speed Parallel Computing: New Perspectives on Tomographic Microwave Imaging for Brain Stroke Detection and Monitoring, in: IEEE Antennas and Propagation Magazine, October 2017, vol. 59, no 5, pp. 98 - 110. [ DOI : 10.1109/MAP.2017.2731199 ]

    https://hal.archives-ouvertes.fr/hal-01623106
  • 17M. Čermák, F. Hecht, Z. Tang, M. Vohralík.

    Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem, in: Numerische Mathematik, November 2017. [ DOI : 10.1007/s00211-017-0925-3 ]

    https://hal.inria.fr/hal-01097662

Scientific Books (or Scientific Book chapters)

  • 18L. Grigori.

    Introduction to Communication Avoiding Algorithms for Direct Methods of Factorization in Linear Algebra, in: SEMA SIMAI Springer Series, M. Mateos, P. Alonso (editors), Computational Mathematics, Numerical Analysis and Applications, Springer, 2017, vol. 13, pp. 153-185. [ DOI : 10.1007/978-3-319-49631-3_4 ]

    https://hal.inria.fr/hal-01669315

Internal Reports

  • 19H. Al Daas, L. Grigori, P. Hénon, P. Ricoux.

    Enlarged GMRES for reducing communication, Inria Paris, March 2017, no RR-9049.

    https://hal.inria.fr/hal-01497943
  • 20L. Grigori, O. Tissot.

    Reducing the communication and computational costs of Enlarged Krylov subspaces Conjugate Gradient, Inria Paris, February 2017, no RR-9023.

    https://hal.inria.fr/hal-01451199

Other Publications

  • 21S. Becker, J. Folberth, L. Grigori.

    URV Factorization with Random Orthogonal System Mixing, 2017, working paper or preprint.

    https://hal.inria.fr/hal-01669915
  • 22I. Ben Gharbia, M. Bonazzoli, X. Claeys, P. Marchand, P.-H. Tournier.

    Fast solution of boundary integral equations for elasticity around a crack network: a comparative study, November 2017, working paper or preprint.

    https://hal.inria.fr/hal-01644518
  • 23M. Bonazzoli, V. Dolean, I. G. Graham, E. A. Spence, P.-H. Tournier.

    A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations, November 2017, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01525438
  • 24M. Bonazzoli, V. Dolean, I. G. Graham, E. A. Spence, P.-H. Tournier.

    Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption, November 2017, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01644011
  • 25M. Bonazzoli, V. Dolean, I. G. Graham, E. A. Spence, P.-H. Tournier.

    Two-level preconditioners for the Helmholtz equation, November 2017, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01525424
  • 26M. Bonazzoli, V. Dolean, F. Hecht, F. Rapetti.

    An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations, November 2017, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01298938
  • 27M. †. Haddad † ‡, T. Sayah, P.-H. Tournier, F. Hecht.

    Parallel Computing Investigations for the Projection Method Applied to the Interface Transport Scheme of a Two-phase Flow by the Method of Characteristics, February 2017, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01470551
  • 28F. Nataf.

    Mathematical Analysis of Robustness of Two-Level Domain Decomposition Methods with respect to Approximate Coarse Solves, November 2017, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01573197
  • 29J. Papež, U. Rüde, M. Vohralík, B. Wohlmuth.

    Sharp algebraic and total a posteriori error bounds for h and p finite elements via a multilevel approach, December 2017, working paper or preprint.

    https://hal.inria.fr/hal-01662944
References in notes
  • 30M. Blatt, A. Burchardt, A. Dedner, C. Engwer, J. Fahlke, B. Flemisch, C. Gersbacher, C. Gräser, F. Gruber, C. Grüninger.

    The distributed and unified numerics environment, version 2.4, in: Archive of Numerical Software, 2016, vol. 4, no 100, pp. 13–29.
  • 31C. Prud'homme.

    A Domain Specific Embedded Language in C++ for automatic differentiation, projection, integration and variational formulations, in: Scientific Programming, 2006, vol. 14, no 2, pp. 81–110.